The expression "e^x" represents an important mathematical function known as the exponential function. Here, "e" is a special number approximately equal to 2.71828, and "x" can be any real number. This function is unique because it grows rapidly as "x" increases, making it useful in various fields like finance, biology, and physics.
One fascinating property of "e^x" is that its rate of growth is proportional to its current value. This means that as the function increases, it does so at a rate that is always a fraction of its current height. This characteristic makes "e^x" essential in modeling natural processes, such as population growth and compound interest.